What is the solution of -2(x+6)+6x=4(x-3)

The answer to your question is x = x

Step-by-step explanation:

                            -2(x + 6) + 6x = 4(x - 3)

Process

1.- Expand

                           -2x - 12 + 6x = 4x - 12

2.- Simplify

                            4x - 12 = 4x - 12

3.- Add 12 in both sides

                            4x - 12 + 12 = 4x - 12 + 12

4.- Simplify

                            4x = 4x

5.- Divide by 4 both sides

                             4x/4 = 4x/4

6.- Simplify

                               x = x  

  any value of x will satisfy this equation

Step-by-step explanation:

The equation can be simplified to ...

  -2x -12 +6x = 4x -12 . . . . . .eliminate parentheses; next, collect terms

  4x -12 = 4x -12 . . . . . . . . . . true for any value of x

The equation has an infinite number of solutions: x may be any value.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).